22002232032 has 288 divisors, whose sum is σ = 72244763136. Its totient is φ = 6286156800.

The previous prime is 22002231973. The next prime is 22002232061. The reversal of 22002232032 is 23023220022.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22002231996 and 22002232014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5171218 + ... + 5175470.

It is an arithmetic number, because the mean of its divisors is an integer number (250849872).

Almost surely, 2^22002232032 is an apocalyptic number.

22002232032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22002232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36122381568).

22002232032 is an abundant number, since it is smaller than the sum of its proper divisors (50242531104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22002232032 is a wasteful number, since it uses less digits than its factorization.

22002232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 22002232032 its reverse (23023220022), we get a palindrome (45025452054).

The spelling of 22002232032 in words is "twenty-two billion, two million, two hundred thirty-two thousand, thirty-two".